Question

6. What is the nature of the roots of
the following Quadratic Equation
9x2 + 25 = 30x
real
notereal

​

Answer 1

Answer:

Not real

Step-by-step explanation:

$\frac{ - 30 + \sqrt{1800} }{18} \: \: \: and \: \frac{ - 30 - \sqrt{1800} }{18} \\ \\ = - \frac{ - 5 + 5 \sqrt{2} }{3} \: and \: \frac{ - 5 - 5 \sqrt{2} }{3}$

I think it was error or wrong signs in the module

Answer 2

9x² -30x+ 25 = 0

3x(3x-5)-5(3x-5)=0

(3x-5)(3x-5)=0

(3x-5)²=0

b²-4ac=0

30²-4*9*25

900-900=0

b²-4ac=0

therefore 9x² -30x+ 25 = 0 is a real root